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Finding the Fourth Proportional to 201,109.94, 301,792.08 and 112,421.70

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Solution

The fourth proportional to 201,109.94, 301,792.08 and 112,421.70 is: 168,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,109.94 : 301,792.08 = 112,421.70 : x
  2. Step 2: Convert to fraction form
    201,109.94/301,792.08 = 112,421.70/x
  3. Step 3: Cross multiply
    201,109.94x = 301,792.08 × 112,421.70
  4. Step 4: Simplify right side
    201,109.94x = 33,927,978,680.14
  5. Step 5: Solve for x
    x = 33,927,978,680.14/201,109.94
  6. Step 6: Final answer
    x = 168,703.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.